题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103409-77321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103410-24072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103410-79606.png)
(1)讨论
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103410-99709.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103410-92905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103410-14535.png)
(3)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103411-11844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103411-68328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103411-27583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103411-46949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-53509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-29050.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-96801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-10403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103410-99709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-69674.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-53584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-10403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103413-58339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103413-16090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103413-73563.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103410-99709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103413-13491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103413-43874.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103414-26247.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103414-20722.png)
解析
试题分析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103410-99709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-69674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103414-60877.png)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-96801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-10403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103410-99709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-69674.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-53584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-10403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103413-58339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103413-16090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103413-73563.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103410-99709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103413-13491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103413-43874.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103414-51896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103410-92905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-69674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103415-27027.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103410-92905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103415-42188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103415-97662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103415-15544.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103416-21672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103416-24846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103414-26247.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103411-68328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103416-82866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103416-35744.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103416-94452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103417-82576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103417-28649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103417-98988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103417-84421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103418-86978.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103418-26572.png)
所以在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103418-31370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103418-40488.png)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103418-45622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103419-28172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103419-40891.png)
有
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103419-15297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103419-71756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103419-89231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103420-21387.png)
所以实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103412-29050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103414-20722.png)
点评:解决的关键是能根据导数的符号分类讨论得到函数单调性,以及根据极值来得到最值,解决不等式的成立,属于中档题。
核心考点
试题【已知函数,,其中R .(1)讨论的单调性;(2)若在其定义域内为增函数,求正实数的取值范围;(3)设函数, 当时,若存在,对于任意的,总有成立,求实数的取值范围】;主要考察你对函数的单调性与导数等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103404-64510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103404-36585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103404-11441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103356-40592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103357-21695.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103357-16369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103357-91803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103357-72262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103358-41815.png)
(2)判断函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103357-72262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103348-81159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103339-82213.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103339-98173.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103339-71418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103339-98173.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103339-88804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103340-44587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103340-62422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103340-32387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103340-78832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103340-34929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103333-82149.png)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103333-10616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103333-96224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103333-56170.png)
(Ⅱ)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103334-82106.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018103334-11675.png)
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